The length of a shadow of a building is 31 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the height of the building. If
necessary, round your answer to the nearest tenth.
m
?
DOO
IDO
32

Answers

Answer 1

Answer:

20.2m

Step-by-step explanation:

the shadow becomes the base and the hypotenuse becomes 37,it forms a right angled triangle and using the Pythagoras theorem you take 37squared minus 31 squared,the answer you get you squareroot to get the answer


Related Questions

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?

Answers

Answer:

1/7

Step-by-step explanation:

There are seven people in all on person will arrive at a different time than others. Every single one of them arrives at different times so it's 1/7

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.

Answers

Answer :

1 (i). [tex]slope \: = - \frac{1}{6} [/tex](ii). [tex]midpoints \: = (1 \: \: \frac{17}{2} )[/tex](iii) . [tex]distance \: = \sqrt{37} [/tex]2(i). [tex]slope \: = 2[/tex][tex]gradient \: = - \frac{1}{2} [/tex]I Hope it helps :)

Speedy texting 3a: Lydia wants to text at least 8 characters per second, like James, then the equation would be 10r+4=8 could be used to model this situation. Solve this equation for R. 3b: Explain what the variable r represents in the equation given in question 3a.

Answers

Answer:

Speedy Texting

3a. In the equation, 10r + 4 = 8

r = 0.4 or 40%

3b. The variable r represents an independent variable in the equation.  An independent variable is a variable that is not dependent on another variable, instead other variables depend on it.  Whatever its value is changes the value of other variables in the equation.

Step-by-step explanation:

a) Solving the equation:

10r + 4 = 8

10r = 8 - 4

10r = 4

r = 4/10 = 0.4 or 40%

What number can be used to complete the volume statement for the cone? A cone with height 4 meters and diameter 3 meters.

Answers

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have

[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]

We have everything we need to calculate the volume of the cone.

[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]

If we want to get the approximate volume, we must use the approximation of the number π.

[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]

[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]

Answer:

The person above me is wrong, the answer is 3

Step-by-step explanation:

I got it right on the test

The sum of the interior angles of a polygon is 9x². If x is 3 greater than the number of side of the polygon, how many sides does the polygon have?

Answers

Answer:

17

Step-by-step explanation:

This is a very neat problem -- for teachers.

Let the number of sides = y

The sum of the interior angles is 180*(y - 2)

We are told that this sum equals 9x^2

So far the equation is

(y - 2)*180 = 9x^2                   Divide both sides by 9

(y - 2)*20 = x^2                       Remove the brackets on the left.

20*y - 40 = x^2

We need another fact. We get that from the statement that x is three greater than the number of sides (y). Therefore y = x - 3

20*(x - 3) - 40 = x^2

20x - 60 - 40 = x^2       Combine like terms on the left

20x - 100 = x^2             Bring the left side to the right side.

0 = x^2 - 20x + 100      You have a quadratic.

a = 1

b = - 20

c = 100

When you solve the quadratic equation, you get

x = 20

Therefore the number of sides is 17.

Keisha had $405 in her bank account. Over the summer, she made 4 withdrawals of $45 each a) What is the balance in Keisha's account? * b) Write an integer expression to represent this problem. Solve the problem. *

Answers

Answer:

see below

Step-by-step explanation:

The amount she withdrew is 45*4 =180

405 - 4*45=

405 -180 =225

There is 225 in the account

Answer: a) $225

Step-by-step explanation:

405 - 45 (4) = x

405 - 180 = x

225 = x

CaC(s) + H2O(l) > Ca(OH)2(s): triangle H = -65.2kJ

Answers

Answer:

Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)

Step-by-step explanation:

Answer on Question # 55533 - Chemistry - General chemistry

Question:

1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1

kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction

N2O(g) + NO2(g) = 3 NO(g); Show your work.

2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the

following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):

CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ

3. Using average bond enthalpies, predict which of the following reactions will be most

exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +

2 OF2(g)

Solution

1)

N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)

2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)

2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)

2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)

N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ

2)

CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ

ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);

ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn

ΔHf°(C2H2) = 227.4 kJ/mol

ΔHf°(Ca(OH)2) = -985.2 kJ/mol

ΔHf°(H2O) = -285.8 kJ/mol

ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol

3)

a) C(g) + 2 F2(g) = CF4(g)

b) CO(g) +3 F2(g) = CF4(g) + OF2(g)

c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)

C-F bond enthalpy 440 kJ/mol

C=O bond enthalpy in carbon dioxide 805 kJ/mol

C=O bond enthalpy in carbon monoxide 1077 kJ/mol

O-F bond enthalpy 184 kJ/mol

F-F bond enthalpy 153 kJ/mol

a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic

b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ

c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ

Which of the following is a parent function?

Answers

Answer:

B

Step-by-step explanation:

A parent function is the simplest function that still satisfies the definition of a certain type of function. One of those functions is exponential, which is b.

   Option (B) will be the correct option.

Definition of a parent function:A parent function is simplest function which represents the entire family of that kind of functions.

We will check each option given for the definition of a parent function.

Option (A)

[tex]f(x)=-2^{x+1}[/tex]

Parent function will be,

[tex]f(x)=2^x[/tex]

Option (B),

[tex]f(x)=4^x[/tex]

It's a simplest form of an exponential function.

Therefore, it's a parent function.

Option (C),

[tex]f(x)=e^{3x}-2[/tex]

Parent function → [tex]f(x)=e^{3x}[/tex]

Option (D),

[tex]f(x)=4x^2[/tex]

Parent function → [tex]f(x)=x^2[/tex]

Learn more about the parent function and the transformation here,

https://brainly.com/question/11474649?referrer=searchResults

Deb works 19.5 hours at a car wash every week. She makes $12.80 per hour. Each week, she puts 1 4 of her earnings into her savings account. How much money does Deb put into her savings account each week?

Answers

Answer:

She will save 62.40

Step-by-step explanation:

First find the total amount she makes

hours times hourly rate

19.5 * 12.80

249.60

She saves 1/4 of this, so multiply by 1/4

1/4 * 249.60

62.40

She will save 62.40

Answer:

62.40

Step-by-step explanation:

Find the value of x in each case:

Answers

Answer:

angle FGE = 36

angle GEL = 72

and angle GFH = 144

Step-by-step explanation:

well you know that angle GEF = 180 -2x

and that angle GFE = 180 -4x

so all the angles in triangle GEF must add to 180

so you have 180 = 180 -2x + 180 -4x + x

180 = 360 -5x

5x = 180

x = 36

so angle FGE = 36

angle GEL = 72

and angle GFH = 144

I need help with this question

Answers

Answer:

y = -3x + 8

Step-by-step explanation:

You have to find the slope first using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Insert any two points in the equation (1,5) and (2,2) and you get -3.

Then, you do any x value times the slope (1*-3 = -3) and add so that it equals the corresponding y value (8).

This makes it y = -3x + 8.

The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square? 16 (5 minus 4 y): Each side measures 5 minus 4 y units. 16 y (5 minus 4): Each side measures 5 minus 4 units. 4 (20 minus 16 y): Each side measures 20 minus 16 y units. 4 y (20 minus 16): Each side measures 20 minus 16 units.

Answers

Answer: 4 (20 minus 16 y): Each side measures 20 minus 16 y units.

Step-by-step explanation:

Hi, to answer this question we have to know the formula of the perimeter of a square:

Perimeter = side length x 4

Since:

p = 80-64y = s x 4

Solving for s (side length)

80-64y /4 = s

s = 20- 16 y

So, the correct option is:

4 (20 minus 16 y): Each side measures 20 minus 16 y units.  

Feel free to ask for more if needed or if you did not understand something.

Answer:

i believe its C

Step-by-step explanation:

please help me in this because i am not able to understand this answer from any side

Answers

Answer:

7, 5929, 77

Step-by-step explanation:

The prime factorization of 847 is 7 · 11², therefore, to make it a perfect square you need to multiply it by 7 to make 5929 which has a square root of 7 · 11 = 77.

Mathematical Statement Justification
4(x + 5) = 2x + 2 Given
4x + 20 = 2x + 2
2x + 20 = 2
2x = -18
x = -9
Fill in the missing justifications in the correct order.

Answers

Answer:

Look at the explanation

Step-by-step explanation:

after the second line (4x-2x) +20= 2

--------------

after the 3rd line

2x=2-20=-18

-------------------

after 4th line    x=-18/2

-----------------------------------------------------------------------------

At the end

4(-9+5)=2(-9)+2

-36+20=-18+2

-16=-16 so it is right

Which of the following is the solution to the following system of inequalities? Let the green region represent the answer region.

Answers

Answer:

Option (A)

Step-by-step explanation:

There are two inequalities drawn on a graph.

x + 2y ≤ 4 ------(1)

3x - y ≤ 2 -------(2)

Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

Solution area of these inequalities will be the common area shaded in green.

Graph given in Option (A) will be the answer.

plzz help on Question B nd C plzz​

Answers

Answer:

see explanation

Step-by-step explanation:

(b)

The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is

x = - 1 and x = 3

(c)

f(0) is the point on the y- axis where the graph crosses, that is 3, thus

f(0) = 3

Two similar triangles are shown below:
a
6
8
2
3
b
4
Which two sets of angles are corresponding angles?
O O O O

Answers

Answer:

<a and <d; <b and <c.

Step-by-step explanation:

When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.

The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:

<a and <d; <b and <c.

Both set of angles are congruent to each other. In other words, they are equal.

Abel’s age in 2019 will be equal to the sum of the digits of his year of birth. If Abel is an adult, how old is Abel now?

Answers

Answer:

23

Step-by-step explanation:

If Abel was born in 1994, in 2019 he would be 23.

1+9+9+4=23

When graphed, which function has a horizontal asymptote at 4?

Answers

Hope you Understand :)

Answer:

f (x) = 2(3x) + 4

Step-by-step explanation:

Construct the described data set. The entries in the data set cannot all be the same. The median and the mode are the same. What is the definition of​ median? A. The value that lies in the middle of the data when the data set is ordered. B. The sum of the data entries divided by the number of entries. C. The data entry that occurs with the greatest frequency. D. The data entry that is far removed from the other entries in the data set.

Answers

Answer:

Option A

Step-by-step explanation:

The median is the value that lies in the middle of the data when the data set is ordered.

It is also the value that separates the higher half of the dataset from the lower half of the dataset.

Answer:

B

Step-by-step explanation:

Hi someone please help me I'm not sure how to do thissss

If the longer base of triangle XYZ is three times the length of the shorter base, a, what is the length of the hypotenuse in terms of the shorter base?

Answers

Answer: (√10)*a

Step-by-step explanation:

In a triangle rectangle, we have 3 sides, in this case, the shorter base, a, the longer base, b and the hypotenuse h.

And the hypotenuse can be found with the Pythagorean's theorem.

a^2 + b^2 = h^2

now, we know that b = 3a, then we can replace it in the above equation:

a^2 + (3*a)^2 = h^2

a^2 + 9*a^2 = h^2

10*a^2 = h^2

now we can apply the square root to both sides and get:

√(10*a^2) = √h^2

(√10)*a = h

Then we have found the length of the hypotenuse in terms of the shorter side a.

1. Analyze the following pattern: 1, 2, 5, 10, 17,

Answers

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

Write the following using algebraic notation, using the letter x for any
unknown numbers
I think of a number, add one, then double the result.​

Answers

Answer:

x+1=x *x

Step-by-step explanation:

Answer:

x+1= x*x

Step-by-step explanation:

hope this helps

A triangle has vertices at (4.-2), (2.2), and (4.6). What are the vertices of the image of the triangle after applying the
translation (x, y)=(x - 1, y + 2)?​

Answers

Answer:

see explanation

Step-by-step explanation:

The translation rule (x, y ) → (x - 1, y + 2 )

Means subtract 1 from the original x- coordinate and add 2 to the original y- coordinate, thus

(4, - 2 ) → (4 - 1, - 2 + 2 ) → (3, 0 )

(2, 2 ) → (2 - 1, 2 + 2 ) → (1, 4 )

(4, 6 ) → (4 - 1, 6 + 2 ) → (3, 8 )

At the city museum, child admission is $6.20 and adult admission is $9.50. On Friday, tickets were sold for a total sales of $1082.00. How many child tickets were sold that day?

Answers

Answer:

98child tickets were sold that day

Step by step Explanation:

Let the number of children= A of the number of adult

Then

6.20C + 9.50A = 1082.0

From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say

A= 4C

Then substitute into the above equation

6.20C + 9.50A = 1082.0

6.20C + 9.50(4C) = 1082.0

6.20C + 38C= 1082.0

44.2C =1082.0

C= 24.48

But we know that

A= 4C

A=4* 24.48

A= 97.9

Therefore ,98child tickets were sold that day

Classify the triangle shown below. Check all that apply.
53
5
3
90°
37
4
O A. Equilateral
B. Isosceles
O C. Right
O D. Obtuse
E. Acute
O F. Scalene​

Answers

Answer:

C. and F.

Step-by-step explanation:

A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures. Some right triangles can be a scalene triangle when the other two angles or the legs are not congruent. Right angle are 90 degrees

Answer:

C and F

Step-by-step explanation:

This triangle is not an equilateral triangle because their lengths are not equivalent to each other. It is not an isosceles triangle because no two lengths are equivalent to each other. It is a right triangle because it has one right angle(A 90 degrees angle.) It is not an obtuse triangle because there isn't an angle that is obtuse(More than 90 degrees but less than 180 degrees angle.) It isn't an acute triangle either because not all three angles are acute(Less than90 degrees angle.) Lastly, it is also a scalene triangle because none of the triangle lengths are equivalent to each other.

3. Two-thirds of a number plus 4 is 76. What is the number?

Answers

Answer:

108

Step-by-step explanation:

2/3x+4=76

2/3x=72

x=72*3/2

x=108

Answer:

Do the opposite of what they say

76 - 4 = 72

72 / 2/3 = 72 x 3 / 2 = 216 / 2 = 108

108 is the number

now to double check

108 x 2/3 = 216 / 3 = 72

72 + 4 = 76

108 is the number

Hope this helps

Step-by-step explanation:

identify the area of the trapezoid. options: 299cm^2 325cm^2 425cm^2 399cm^2

Answers

Answer:399

Step-by-step explanation:

((a+b)/2) * h

((13+25)/2) * 21

399

<!> Brainliest is appreciated! <!>

Answer: 399 cm^2

The formula is: (Top + Bottom)(height)/2

Therefore:
(13 + 25)(21)/2
= (38)(21)/2
= 798/2
= 399

Find the volume of the prism

Answers

Answer:

152.4

Step-by-step explanation:

There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
А в с
a) Which letter shows the probability of choosing a yellow sweet?
b) Which letter shows the probability of choosing a sweet that is not orange?

Answers

Answer:

a) 0.3.

b) 1.

Step-by-step explanation:

Note: The scale of probability is not given properly. So, the probability of following events are given below:

It is given that,

Total number of sweets in a bag = 10

Red sweets = 4

Green sweets = 2

Yellow sweets = 3

Purple sweet = 1

a)

We need to find the probability of choosing a yellow sweet.

[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(Y)=\dfrac{3}{10}[/tex]

[tex]P(Y)=0.3[/tex]

Therefore, the probability of choosing a yellow sweet is 0.3.

b)

We need to find the probability of choosing a sweet that is not orange.

[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(O')=1-\dfrac{0}{10}[/tex]

[tex]P(O')=1[/tex]

Therefore, the probability of choosing a sweet that is not orange is 1.

Probabilities are used to determine the chances of events.

The probability of choosing a yellow sweet is 0.3The probability of choosing a sweet that is not orange is 0

The probability scale is not given; so, I will give a general explanation.

The given parameters are:

[tex]Red = 4[/tex]

[tex]Green = 2[/tex]

[tex]Yellow= 3[/tex]

[tex]Purple = 1[/tex]

[tex]Total = 10[/tex]

(a) The probability of choosing a yellow sweet

This is calculated using:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{3}{10}[/tex]

Divide 3 by 10

[tex]P(Yellow) =0.3[/tex]

Hence, the probability of choosing a yellow sweet is 0.3

(b) The probability of choosing a sweet that is not orange

This is calculated using:

[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]

So, we have:

[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]

Divide 0 by 10

[tex]P(Not\ Orange) = 1 - 0[/tex]

[tex]P(Not\ Orange) = 1[/tex]

Hence, the probability of choosing a sweet that is not orange is 0

Read more about probabilities at:

https://brainly.com/question/251701

Other Questions
We all know what it is to have pain in our heart, and we all know how important it is to heal. But right now, depression is societys deep cut that were content to put a Band-Aid over and pretend its not there. Which options show examples of figurative language used in the excerpt? Select all that apply.a) But right now, depression is societys deep cutb) were content to put a Band-Aid over c) how important it is to heal d) pretend its not there A motorcycle together with its Rider with 150 kg how much work is needed to set its movement at 15 metre per second. Magic Realm, Inc., has developed a new fantasy board game. The company sold 48,500 games last year at a selling price of $61 per game. Fixed expenses associated with the game total $873,000 per year, and variable expenses are $41 per game. Production of the game is entrusted to a printing contractor. Variable expenses consist mostly of payments to this contractor. Required: 1-a. Prepare a contribution format income statement for the game last year. 1-b. Compute the degree of operating leverage. 2. Management is confident that the company can sell 60,625 games next year (an increase of 12,125 games, or 25%, over last year). Given this assumption: a. What is the expected percentage increase in net operating income for next year? b. What is the expected amount of net operating income for next year? (Do not prepare an income statement; use the degree of operating leverage to compute your answer.) Skin by Roald Dahl Who is Soutine? Where is he from? What is his role in the story? Imagine that you are the supply chain manager for the Magic Widget company and you need to measure your supply chain performance. The chart shows the financial variables that you will need to perform your task.Financial Variables Total Assets (in $ billions) 15.3 Cost of Goods Sold (in $ billions) 19.8 Inventory: Raw Material Inventory (in $ billions) 1.10 Work-in-progress Inventory (in $ billions) 2.20 Finished Goods Inventory (in $ billions) 0.82Required:Compute the percentage of assets committed to inventory and inventory turnover. Round your answers to the first decimal place. 1. Write your answer using onlypositive exponents.(3ab^3c^-1)^3 Simplify the slope of AC De acuerdo con la ecuacin, de la frecuencia en una cuerda de guitarra, el objetivo de tensionar la cuerda en uno de sus trastes es: A. Reducir la longitud de la cuerda, por lo tanto, lograr un tono ms agudo. B. Reducir la masa de la cuerda, por lo tanto, lograr un tono ms agudo. C. Aumentar la tensin de la cuerda, por lo tanto, lograr un tono ms grave. D. Mantener el tono de la nota, por lo tanto, lograr un tono ms grave. Which metric unit would be best to measure the volume of water in a swimming pool? Question 19 (4 points)Saved2(x + 1) + 2(x - 2) = 3(x-3) + 4 find the midpoint of the line segment that has endpoints at (10,8) (-3,-10) Hughes was influenced by the poets Walt Whitman, Carl Sandburg, Paul Laurence Dunbar, and Claude McKay. Can you detect these influences in this poem or in other poems written by Hughes? Harlem (A Dream Deferred) by Langston Hughes The diameter of a planet is about 1420 mi. Find the volume of the planet. Round to the nearest thousand cubic miles. Use 3.14 for pi. 6x + 7y + x-8y = 7x - yWrite down three other expressions that are equal to 7x - y Multiply 1 and 3/4 4/5.One and three-fourths written as an improper fraction is .The product written as an improper fraction in lowest terms is .The answer written as a mixed number is . Please help! (Its about slope) -Rounded to the nearest ten, the number is 61 460.-The number is divisible by 4.-The digit sum is even.What is the number solve the equation [tex]\frac{x}{3} -\frac{3-2x}{6}=\frac{5}{2} x[/tex] Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate. (MC)The timeline below shows changes in U.S. tariff policy between 1920 and 1930: May 1921 - Emergency Tariff increases import taxes on agricultural products September 1922- Fordney-McCumber Tariff raises tariffs on farm and manufactured goods June 1930- Smoot-Hawley Tariff increases tariff levels to record high levelWhat conclusion can be drawn from this timeline?The American economy was almost entirely self-sufficient throughout the 1920s.During the 1920s, Congress supported domestic producers with a protective trade policy.During the 1920s, the United States shifted from an export-based economy to an import-based economy.Crop prices and corporate profits increased steadily during the 1920s as a result of government policy.